Q: Two charges of equal magnitude $$Q = 0.35\ \mathrm{C}$$ are placed $$7.0\ \mathrm{m}$$ apart. What is the magnitude of the electric force between them? Use $$k = 8.99 \times 10^9$\ \mathrm{N\cdot m^2$/C^2$$}$.

$$7.85 \times 10^7$\ \mathrm{N}$$

Q: A solenoid is $$0.16\ \mathrm{m}$$ long and has a cross-sectional area of $$1.0\ \mathrm{cm}^2. If it $$has $$1000$$ turns, what is its inductance? ($$\mu_0$ = 4\pi \times 10$$^{-7}$$\ \mathrm{T\cdot m/A})$$

$$7.9 \times 10$$^{-4}$$\ \mathrm{H}$$

Q: A $$2.0\ \mathrm{\mu F}$$ capacitor is connected across a $$100\ \mathrm{V}$$ battery. How much energy is stored in the capacitor?

$$1.0 \times 10$$^{-2}$$\ \mathrm{J}$$

Q: A $$1.0\ \mathrm{m}$$ long wire moves at $$3.0 \times 10^4$\ \mathrm{m/s}$$ perpendicular to a uniform magnetic field of $$1.60\ \mathrm{T}. $$What is the magnitude of the induced emf?

$$4.8 \times 10^4$\ \mathrm{V}$$

Question 1

Two charges of equal magnitude $$Q = 0.35\ \mathrm{C}$$ are placed $$7.0\ \mathrm{m}$$ apart. What is the magnitude of the electric force between them? Use $$k = 8.99 	imes 10^9$\ \mathrm{N\cdot m^2$/C^2$$}$.

Accepted Answer

$$7.85 	imes 10^7$\ \mathrm{N}$$

Question 2

A region of space contains a uniform electric field directed toward the right. At three points A, B, and C along the field, which statement is correct about the electric potential?

Accepted Answer

The potential at point A is the highest, at B is the second highest, and at C is the lowest.

Question 3

Consider two copper wires of equal cross-sectional area. One wire has 3 times the length of the other. How do the resistivities of these two wires compare?

Accepted Answer

Both wires have the same resistivity.

Question 4

An electronic component with a $$16\Omega$$ resistor is rated for use at power levels not exceeding $$12\ \mathrm{W}. $$What is the maximum current that can safely flow through the component?

Accepted Answer

$$0.87\ \mathrm{A}$$

Question 5

A parallel-plate capacitor consists of two parallel plates of area $$A$$ separated by a distance $$d. If $$the separation between the plates is now doubled, the capacitance:

Accepted Answer

Is halved.

Question 6

A $$60\ \mathrm{Hz} AC $$source has a voltage amplitude of $$120\ \mathrm{V}. $$The capacitive reactance is $$70\Omega$$, the inductive reactance is $$310\Omega$$, and the resistance is $$40\Omega. $$What is the rms current in the circuit?

Accepted Answer

$$0.32\ \mathrm{A}$$

Question 7

A solenoid is $$0.16\ \mathrm{m}$$ long and has a cross-sectional area of $$1.0\ \mathrm{cm}^2. If it $$has $$1000$$ turns, what is its inductance? ($$\mu_0$ = 4\pi 	imes 10$$^{-7}$$\ \mathrm{T\cdot m/A})$$

Accepted Answer

$$7.9 	imes 10$$^{-4}$$\ \mathrm{H}$$

Question 8

A light ray is incident on a glass-air interface at an angle of $$40^\circ$$ with the normal. The index of refraction of air is $$1.00$$, and the index of refraction of glass is $$1.53. $$What is the angle of refraction in the air?

Accepted Answer

$$68^\circ$$

Question 9

Which of the following lists gives the correct order of the electromagnetic waves from longer wavelength to shorter wavelength?

Accepted Answer

Radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays

Question 10

A diffraction grating having a line density of $$5000\ \mathrm{lines/cm} is $$illuminated by monochromatic light. If the angle between the central maximum and the fourth-order maximum is $$47.2^\circ$$, what is the wavelength of the light?

Accepted Answer

$$138\ \mathrm{nm}$$

Question 11

A $$1.0\ \mathrm{kg}$$ mass is attached to a spring with a force constant $$k = 100\ \mathrm{N/m}. If $$the mass is pulled $$0.20\ \mathrm{m}$$ from equilibrium and released from rest, what is the maximum speed it attains?

Accepted Answer

$$2.0\ \mathrm{m/s}$$

Question 12

A $$0.50\ \mathrm{kg}$$ ball is thrown vertically upward with an initial speed of $$10\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$5.1\ \mathrm{m}$$

Question 13

A $$2.0\ \mathrm{\mu F}$$ capacitor is connected across a $$100\ \mathrm{V}$$ battery. How much energy is stored in the capacitor?

Accepted Answer

$$1.0 	imes 10$$^{-2}$$\ \mathrm{J}$$

Question 14

A $$0.20\ \mathrm{kg}$$ block slides on a frictionless surface and collides with a spring of force constant $$k = 50\ \mathrm{N/m}. If $$the block's initial speed is $$2.0\ \mathrm{m/s}$$, what is the maximum compression of the spring?

Accepted Answer

$$0.28\ \mathrm{m}$$

Question 15

A $$1.0\ \mathrm{m}$$ long wire moves at $$3.0 	imes 10^4$\ \mathrm{m/s}$$ perpendicular to a uniform magnetic field of $$1.60\ \mathrm{T}. $$What is the magnitude of the induced emf?

Accepted Answer

$$4.8 	imes 10^4$\ \mathrm{V}$$

Question 16

A $$0.10\ \mathrm{kg}$$ mass is attached to a string and swung in a horizontal circle of radius $$0.50\ \mathrm{m} at a $$speed of $$2.0\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$0.80\ \mathrm{N}$$

Question 17

A $$2.0\ \mathrm{\mu F}$$ and a $$4.0\ \mathrm{\mu F}$$ capacitor are connected in series across a $$12\ \mathrm{V}$$ battery. What is the voltage across the $$4.0\ \mathrm{\mu F}$$ capacitor?

Accepted Answer

$$8.0\ \mathrm{V}$$

Question 18

A $$1.0\ \mathrm{kg}$$ block is attached to a spring and oscillates with a period of $$2.0\ \mathrm{s}. $$What is the force constant $$k of $$the spring?

Accepted Answer

$$9.87\ \mathrm{N/m}$$

Question 19

A $$0.50\ \mathrm{kg}$$ mass is attached to a string and swung in a vertical circle of radius $$1.0\ \mathrm{m}. $$What is the minimum speed at the top of the circle to keep the string taut? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.13\ \mathrm{m/s}$$

Comprehensive Physics Final Exam Study Guide: Electric Forces, Circuits, Magnetism, Waves, and Optics

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